LCM of 651, 700, 298, 665, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 651, 700, 298, 665, 969 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 651, 700, 298, 665, 969. So, keep reading to learn more.
Given numbers are 651,700,298,665,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 651,700,298,665,969 is 3133067700.
Find LCM of 651,700,298,665,969 with Prime Factorization
| 2 | 651, 700, 298, 665, 969 |
| 3 | 651, 350, 149, 665, 969 |
| 5 | 217, 350, 149, 665, 323 |
| 7 | 217, 70, 149, 133, 323 |
| 19 | 31, 10, 149, 19, 323 |
| 31, 10, 149, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 19 x 31 x 10 x 149 x 1 x 17 = 3133067700
Therefore, the lowest common multiple of 651,700,298,665,969 is 3133067700.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
651 x 700 x 298 x 665 x 969 = 87506580861000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
651 : 1, 3, 7, 21, 31, 93, 217, 651
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
298 : 1, 2, 149, 298
665 : 1, 5, 7, 19, 35, 95, 133, 665
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,700,298,665,969, is 1.
Now, the common factors can be found like this.
651:3x 7x 31
700:2x 2x 5x 5x 7
298:2x 149
665:5x 7x 19
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7x 7x 19 = 27930
Therefore, the value for common factors is 27930.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 87506580861000/(1x27930)
LCM = 87506580861000/27930
LCM = 3133067700
Thus, we can understand that the LCM of 651,700,298,665,969 is 3133067700.
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FAQs on LCM of 651, 700, 298, 665, 969
1. What is the LCM of 651, 700, 298, 665, 969?
Answer: LCM of 651, 700, 298, 665, 969 is 3133067700.
2. How to calculate the LCM of 651, 700, 298, 665, 969?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 651, 700, 298, 665, 969.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.